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Finding the Fourth Proportional to 6,078.32, 8,383.24 and 4,586.48

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Solution

The fourth proportional to 6,078.32, 8,383.24 and 4,586.48 is: 6,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.32 : 8,383.24 = 4,586.48 : x
  2. Step 2: Convert to fraction form
    6,078.32/8,383.24 = 4,586.48/x
  3. Step 3: Cross multiply
    6,078.32x = 8,383.24 × 4,586.48
  4. Step 4: Simplify right side
    6,078.32x = 38,449,562.60
  5. Step 5: Solve for x
    x = 38,449,562.60/6,078.32
  6. Step 6: Final answer
    x = 6,325.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.